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On the Q-divisor method and its application

Meng Chen
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Abstract

For smooth projective 3-folds of general type, we prove that the relative canonical stability $μ_s(3)\leq 8$. This is induced from our improved result of Kollár: the m-canonical map of a smooth projective 3-fold of general type is birational whenever $m\geq 5k+6$, provided $P_k(X)\geq 2$. The Q-divisor method is intensively developed to prove our results.

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Meng Chen. 2003-11-11. On the Q-divisor method and its application. https://arxiv.org/abs/math/9904005

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